Quantization of the Taub model with extrinsic time

The paper addresses the quantization of cosmological models, with application to the Taub model. By reducing the model with extrinsic time, a formalism is developed in order to define a conserved Schrödinger inner product in the space of solutions of the Wheeler-DeWitt equation. A quantum version of...

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Autores principales: Catren, Gabriel, Ferraro, Rafael
Publicado: 2001
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v63_n2_p_Catren
http://hdl.handle.net/20.500.12110/paper_05562821_v63_n2_p_Catren
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spelling paper:paper_05562821_v63_n2_p_Catren2023-06-08T15:42:26Z Quantization of the Taub model with extrinsic time Catren, Gabriel Ferraro, Rafael article cosmos gravity mathematical computing model quantitative assay quantum mechanics theory The paper addresses the quantization of cosmological models, with application to the Taub model. By reducing the model with extrinsic time, a formalism is developed in order to define a conserved Schrödinger inner product in the space of solutions of the Wheeler-DeWitt equation. A quantum version of classical canonical transformations is introduced for connecting the solutions of the Wheeler-DeWitt equation with the wave functions of the reduced system. Once this correspondence is established, boundary conditions on the space of solutions of the Wheeler-DeWitt equation are obtained to directly select the physical subspace. © 2000 The American Physical Society. Fil:Catren, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Ferraro, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v63_n2_p_Catren http://hdl.handle.net/20.500.12110/paper_05562821_v63_n2_p_Catren
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic article
cosmos
gravity
mathematical computing
model
quantitative assay
quantum mechanics
theory
spellingShingle article
cosmos
gravity
mathematical computing
model
quantitative assay
quantum mechanics
theory
Catren, Gabriel
Ferraro, Rafael
Quantization of the Taub model with extrinsic time
topic_facet article
cosmos
gravity
mathematical computing
model
quantitative assay
quantum mechanics
theory
description The paper addresses the quantization of cosmological models, with application to the Taub model. By reducing the model with extrinsic time, a formalism is developed in order to define a conserved Schrödinger inner product in the space of solutions of the Wheeler-DeWitt equation. A quantum version of classical canonical transformations is introduced for connecting the solutions of the Wheeler-DeWitt equation with the wave functions of the reduced system. Once this correspondence is established, boundary conditions on the space of solutions of the Wheeler-DeWitt equation are obtained to directly select the physical subspace. © 2000 The American Physical Society.
author Catren, Gabriel
Ferraro, Rafael
author_facet Catren, Gabriel
Ferraro, Rafael
author_sort Catren, Gabriel
title Quantization of the Taub model with extrinsic time
title_short Quantization of the Taub model with extrinsic time
title_full Quantization of the Taub model with extrinsic time
title_fullStr Quantization of the Taub model with extrinsic time
title_full_unstemmed Quantization of the Taub model with extrinsic time
title_sort quantization of the taub model with extrinsic time
publishDate 2001
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v63_n2_p_Catren
http://hdl.handle.net/20.500.12110/paper_05562821_v63_n2_p_Catren
work_keys_str_mv AT catrengabriel quantizationofthetaubmodelwithextrinsictime
AT ferrarorafael quantizationofthetaubmodelwithextrinsictime
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